Mathematical Reasoning

Postulate

A postulate is a statement that is taken to be true without proof to support the reasoning process in the development of a theorem or a proof.

Examples

A few well-known postulates from Euclidean geometry are listed here:
  • One and only one straight line can be drawn through any two points.
  • If two points lie in a plane, then the line joining the two points lies in the same plane.
  • The shortest distance between any two points is a straight line.

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